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Finding the Fourth Proportional to 194,410, 268,285.80 and 104,986

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Solution

The fourth proportional to 194,410, 268,285.80 and 104,986 is: 144,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410 : 268,285.80 = 104,986 : x
  2. Step 2: Convert to fraction form
    194,410/268,285.80 = 104,986/x
  3. Step 3: Cross multiply
    194,410x = 268,285.80 × 104,986
  4. Step 4: Simplify right side
    194,410x = 28,166,252,998.80
  5. Step 5: Solve for x
    x = 28,166,252,998.80/194,410
  6. Step 6: Final answer
    x = 144,880.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.